- #1
Mr Davis 97
- 1,462
- 44
I am confused about the order in which we apply transformations to a input of a parent function to get the corresponding input of the new function. Say for example, we have the function ##y = \sin(-2x + 1)=\sin(-2(x-\frac{1}{2}))##. Intuitively, it would seem as though we would transform a point from the parent function ##y=\sin(x)## by doing the following:
(4, - 0.7568)
(4.5, - 0.7568)
(2.25, - 0.7568)
(-2.25, - 0.7568)
However, when -2.25 radians is inputted into the new function, we get - 0.7055!
What am I doing wrong? I'm transforming the point as if it were an input to the function, but this is not producing the correct value. This begs the question: what is the order in which we apply transformations in order to get the correct value in the new function?
(4, - 0.7568)
(4.5, - 0.7568)
(2.25, - 0.7568)
(-2.25, - 0.7568)
However, when -2.25 radians is inputted into the new function, we get - 0.7055!
What am I doing wrong? I'm transforming the point as if it were an input to the function, but this is not producing the correct value. This begs the question: what is the order in which we apply transformations in order to get the correct value in the new function?